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Finding the Fourth Proportional to 3,874.62, 5,347.08 and 2,106.35

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Solution

The fourth proportional to 3,874.62, 5,347.08 and 2,106.35 is: 2,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.62 : 5,347.08 = 2,106.35 : x
  2. Step 2: Convert to fraction form
    3,874.62/5,347.08 = 2,106.35/x
  3. Step 3: Cross multiply
    3,874.62x = 5,347.08 × 2,106.35
  4. Step 4: Simplify right side
    3,874.62x = 11,262,795.22
  5. Step 5: Solve for x
    x = 11,262,795.22/3,874.62
  6. Step 6: Final answer
    x = 2,906.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.